Question

Find the area of the shaded region to the nearest square unit. The base and height of the smaller shaded right
triangle are the same length.

Answers above on the picture^. Thank you:).

Answer 1

Answer:

d

Step-by-step explanation:

let side of smaller triangle=x

x²+x²=7²

2x²=49

$x=\frac{7}{\sqrt{2}} \\area ~of~smaller~triangle=\frac{1}{2} *\frac{7}{\sqrt{2}} *\frac{7}{\sqrt{2}} =\frac{49}{4}\\Total~area=\frac{1}{2} *14*14+12.25 =98+12.25=110.25 ~sq.~units$

=110 sq. ft

Answer 2

Answer:

since the length of the smaller triangle =base=height

take we take the base of the smaller triangle be X there for x²+x²=7²

2x²=49

divide both sides by 2 and get x²=49/2 X=7/

$\sqrt{2}$

secondly the area of a smaller triangle = ½base × height = ½×(7/ square root of 2)² =49/4

now the total area =½×14²×49/4

=98+49/4

=110square unitss ft

$\sqrt{2}$